Question

Name:25. What is an equation in slope-intercept form for the line given?88X•1, -3)1-3, 5)-8A. y = 1/2(x)+(-7/2)B. y = 1/2(x) -(1)C. y = 2(x) +(-5/2)D. y = 2(x)+(-7/2)

Answer 1

Given the points (-3,-5) and (1,-3), we can derive the equation of the line using the formula:

`\begin{gathered} (y-y_1)/(x-x_1)\text{ = }(y_2-y_1)/(x_2-x_1) \\ by\text{ substituting, we have} \\ \frac{y\text{ - (-5)}}{x\text{ - (-3)}}\text{ =}\frac{-3\text{ - (-5)}}{1\text{ - (-3)}} \\ \frac{y\text{ + 5}}{x\text{ + 3}}\text{ = }(2)/(4) \\ 4(y\text{ + 5) = 2(x + 3)} \\ 4y\text{ - 2x + 14 = 0} \\ y\text{ = }(1)/(2)x\text{ }-(7)/(2) \end{gathered}`

This corresponds to option A